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LCM of 350, 229, 453, 492, 684

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 350, 229, 453, 492, 684 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 350, 229, 453, 492, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 350,229,453,492,684

Given numbers are 350,229,453,492,684

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 350,229,453,492,684 is 169703358300.

Find LCM of 350,229,453,492,684 with Prime Factorization


2 350, 229, 453, 492, 684
2 175, 229, 453, 246, 342
3 175, 229, 453, 123, 171
175, 229, 151, 41, 57

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 175 x 229 x 151 x 41 x 57 = 169703358300

Therefore, the lowest common multiple of 350,229,453,492,684 is 169703358300.

LCM Formula to Find Lowest Common Multiple of 350,229,453,492,684

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

350 x 229 x 453 x 492 x 684 = 12218641797600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

229 : 1, 229

453 : 1, 3, 151, 453

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,229,453,492,684, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

229:229

453:3x 151

492:2x 2x 3x 41

684:2x 2x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12218641797600/(1x72)

LCM = 12218641797600/72

LCM = 169703358300

Thus, we can understand that the LCM of 350,229,453,492,684 is 169703358300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 350, 229, 453, 492, 684

1. What is the LCM of 350, 229, 453, 492, 684?

Answer: LCM of 350, 229, 453, 492, 684 is 169703358300.

2. How to calculate the LCM of 350, 229, 453, 492, 684?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 350, 229, 453, 492, 684.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.